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7894368 = 25339137
BaseRepresentation
bin11110000111010101100000
3112212002001000
4132013111200
54010104433
6441112000
7124046436
oct36072540
915762030
107894368
114502179
122788600
131835331
141096d56
15a5e113
hex787560

7894368 has 48 divisors (see below), whose sum is σ = 23027760. Its totient is φ = 2631168.

The previous prime is 7894363. The next prime is 7894387. The reversal of 7894368 is 8634987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78943682 = 124642092238848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7894363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3705 + ... + 5432.

It is an arithmetic number, because the mean of its divisors is an integer number (479745).

Almost surely, 27894368 is an apocalyptic number.

It is an amenable number.

7894368 is an abundant number, since it is smaller than the sum of its proper divisors (15133392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7894368 is a wasteful number, since it uses less digits than its factorization.

7894368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9142 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7894368 is about 2809.6917980448. The cubic root of 7894368 is about 199.1158303132.

The spelling of 7894368 in words is "seven million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 9137 18274 27411 36548 54822 73096 82233 109644 146192 164466 219288 246699 292384 328932 438576 493398 657864 877152 986796 1315728 1973592 2631456 3947184 7894368